Answer:
The correct option is c
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 185.6 \ mm[/tex]
The standard deviation is [tex]\sigma = 12.7 \ mm[/tex]
The sample size is n = 10
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{ 12.7}{\sqrt{ 10 } }[/tex]
=> [tex]\sigma_{x} = 4.016[/tex]
Generally the probability that a random sample of size 10 from this population will have a mean less than than 180 is mathematically represented as
[tex]P(X < 180 ) = P(\frac{ X - \mu }{\sigma_{x} } < \frac{180 - 185.6}{4.016} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 180 ) = P(Z < - 1.394 )[/tex]
From the z table the area under the normal curve to the left corresponding to -1.394 is
[tex]P(X < 180 ) = P(Z < - 1.394 ) = 0.081659[/tex]
=> [tex]P(X < 180 ) = 0.0823[/tex]
Evaluate 8 + 3e when e = 2.
Answer:
14
Step-by-step explanation:
8+3e plug in 2
8+32 Multiply 3 and 2.
8+6=14
The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?
Answer:
ratio is 5-7
Step-by-step explanation:
have a nice day.
A cell phone plan costs $150 to start, Then, thero is a $50 charge each month. What is
the total cost, y, for x months? Which equation match this situation Y=150-50x. Y=50x+150. Y=150x+50. -50x+150=y
Answer:
Y = 50x + 150
Step-by-step explanation:
50 per month (x = unknown number of months) === 50x
$150 is the starting charge (automatic +150)
Y = total cost
Y = 50x + 150
Please can someone help me
Answer:
A, C ,E
Step-by-step explanation:
En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que el otro, pero su diámetro es la mitad del diámetro del otro. El tarro más alto vale $4.500 y el más bajo $8.000, ¿ cuál es la mejor compra ? help
Answer:
tarro corto
Step-by-step explanation:
Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.
[tex]h_1[/tex] = Altura del frasco corto
[tex]h_2[/tex] = La altura del frasco alto es el doble que el del frasco corto. = [tex]2h_1[/tex]
[tex]d_1[/tex] = Diámetro del frasco corto
[tex]d_2[/tex] = El diámetro del frasco alto es la mitad del frasco corto = [tex]\dfrac{1}{2}d_1[/tex]
El volumen de un cilindro es [tex]\pi \dfrac{d^2}{4}h[/tex]
La razón de los volúmenes de los frascos es
[tex]\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2[/tex]
El costo del frasco corto por unidad de volumen es
[tex]\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}[/tex]
El costo del frasco alto por unidad de volumen es
[tex]\dfrac{4500}{V_2}=\dfrac{4500}{V_2}[/tex]
[tex]\dfrac{4000}{V_2}<\dfrac{4500}{V_2}[/tex]
Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.
Por lo tanto, deberíamos tomar el frasco corto.
Caitlin drew a scale drawing of the community park in her town. The actual
long.
What scale did Caitlin use to draw the park?
o 1 inch equals 4 feet
4 inches equal 4 feet
o 1 inch equals foot
4 inches equal 1 foot
Answer: 1 inch equals 4 feet
Step-by-step explanation:
By an online search, I´ve found that:
The park is 48 ft long.
Caitlin´s drawing is 12 inches long.
To find how much each inch represents, we need to take the quotient between those lengths:
48ft/12in = 4ft/in.
We also can write this amount as:
4 feet per inch.
This means that each inch represents 4 feets.
Then the correct option is the first one: 1 inch equals 4 feet
Draw the following graph on the interval −195∘
:
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
What is a commission, as it relates to the stock market? a. The act of making stock available to buy b. A request to buy a specific kind of stock c. Profit made from selling stock d. A fee paid to a broker for making a trade Please select the best answer from the choices provided A B C D
Answer:
D. A fee paid to a broker for making a trade
Step-by-step explanation:
Commission in stocks is simply a brokerage fee that is charged when one wants to buy or sell stocks.
It is also known as trading fee and could be charged when buying and selling other investments, like exchange traded funds.
Thus, correct answer is option D.
Answer:
d
Step-by-step explanation:
Can anyone help me with this?
Answer:
B
Step-by-step explanation:
it says each month and i think i saw 35 as the first month so n would go behind it so yea
The automaker of your new car recommended an oil change following the 5,000 miles and then every 3,000 miles thereafter.if you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
25 POINTS PICTURE INCLUDED PLEASE ANSWER I NEED HELP
What expression represents the value of v?
Answer:
that is an obtuse angle and mixed with an aacute, you answer should be 45 or 50 degrees please correct me if im wrong.
Step-by-step explanation:
If g(x)= -3x^3+5x-3, then the slope of the line that is perpendicular to the tangent line at x=1 would be...
A. 4
B. -4
C. 2
D. -1/4
E. 1/4
The slope of the line that is perpendicular to the tangent line at x=1 is, [tex]\frac{1}{4}[/tex]
Option E is correct.
Slope of line:The derivative of given function with respect to x is known as slope of function.
Given function is, [tex]g(x)=-3x^{3}+5x-3[/tex]
Now differentiate the above function.
[tex]\frac{dg(x)}{dt}=-9x^{2} +5[/tex]
[tex]\frac{dg(x)}{dx}[/tex] at [tex]x=1[/tex] is,
[tex]\frac{dg}{dt} =-9(1)^{2}+5 =-4[/tex]
the slope of the line that is perpendicular to the tangent line at x=1 is,
Slope[tex]=-\frac{1}{dg/dx}=\frac{1}{4}[/tex]
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Use the distributive property and combine like terms to simplify:
-5(x + 4) + 8
a
-5x - 28
b
-5x + 12
c
-5x - 12
d
-5x + 28
Answer:
-5x - 12
Step-by-step explanation:
-5(x + 4) + 8
-5x - 20 + 8
-5x - 12
Find the next number in the sequence.
25, 36, 49, 64, ...
Answer:
81
Step-by-step explanation:
25, 36, 49, 64, ...
36 - 25 = 11
49 - 36 = 13 = 11 + 2
64 - 49 = 15 = 13 + 2
64 + 15 + 2 = 81
Jerrod drove 210 miles in 3 hours. Martin drove 244 miles in 4 hours. Who drove at the fastest rate of speed and by how much?
Answer:
Jerrod drove at the fastest rate of speed which is 70 km/ph.
Step-by-step explanation:
I hope this is what u wanted.
Which of the following pairs of lines are perpendicular?
y=3x-4 and y=-1/2 x-5
y=1/2 and y=2x-1
y=x and y=-x
Please help with this. 60 points for this!
Answer:
y=x y=-x
Step-by-step explanation:
Answer:
y= 12x4
Step-by-step explanation:
i have a degree for this stuff
Solve for y: 0.3y - 2 > 7
Answer:
Y > 30
Step-by-step explanation:
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
number of hours she works, how many hours would she need to work to earn an
additional $260?
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
[tex]A\propto t[/tex]
[tex]A=kt[/tex] ...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
[tex]54.60=k(6)[/tex]
Divide both sides by 6.
[tex]\dfrac{54.60}{6}=k[/tex]
[tex]9.1=k[/tex]
Put k=9.1 in (i).
[tex]A=9.1t[/tex]
Substitute A=260 in the above equation.
[tex]260=9.1t[/tex]
Divide both sides by 9.1.
[tex]\dfrac{260}{9.1}=t[/tex]
[tex]28.5714=t[/tex]
[tex]t\approx 29[/tex]
Therefore, she need to work extra about 29 hours to earn an additional $260.
One purpose of General T.Sherman's march to the sea was to
a) break the spirits of confederate citizens
b) allow troops under his control to get rest
c) find ships and sail his soldier's to the north
d) prove that he was the most skilled union general
Answer:
A
Step-by-step explanation: He slashed across the South destroying farms and land in a scorched Earth tactic, which was really damaging to the South because the land they had was all they had.
It's not B because they didn't need rest, he wasn't sailing North so it's not C, and he didn't have anything to prove himself as a skilled general, he already was a skilled general.
Given that 1 gallon = 16 cups, find the missing quantity below 24 gallons =. Cups?
Answer:
384
Step-by-step explanation:
You multiply 16 by 24 and that equals 384. Good luck and have a great day!
There are 50 puddles on 10 orange blossoms. each blossom has the same number of petals. how many petals are on one blossom?
Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $7o bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks. You can solve the equation to check your answer.
Answer: She needs to save her allowance for another 4 weeks.
Step-by-step explanation:
She starts with $30, and for each week that she saves her allowance, she gets another $10. If she saves for "w" weeks, she has:
$30 + w*$10
And she wants to have $70
$30 + w*$10 = $70
We can solve this:
$30 + w*$10 = $70
w*$10 = $70 - $30 = $40
w = $40/$10 = 4
Find the number, if 9/4 of it is 27
Answer:
12
Step-by-step explanation:
Let the required number be x
[tex] \frac{9}{4} \times x = 27 \\ \\ x = 27 \times \frac{4}{9} \\ \\ x = 3 \times 4 \\ \\ x = 12[/tex]
Answer:
I think 12 is the answer...
Step-by-step explanation:
27/1 divided by 4/9 (Multiply by the recipricol).
27/1 multiplied by 9/4 (Cross multiply/Use the butterfly method).
= 12/1 or 12
I hope this helps.
please answer the image below
Answer:
Step-by-step explanation:
Remark
This is one of those questions whose answer is hidden by the sloppiness of the wording. You don't really know what the starting speed is at 129 feet. I am going to assume the submarine is constantly moving at the same speed.
Givens
d1 = 129
d2 = 229
t = 3 sec
formula
(d2 - d1) = r * t
solution
(229 - 129) = r * t
100 = r * 3
100/3 = r
33.3 feet/s = r
Caution
if you know what d = vi*t + 1/2*a * t^2 is, you could get this wrong. If you do know the formula, leave a comment below my answer.
Can you construct a triangle that has side lengths 2 in., 3 in., and 6 in. ?
no
yes
JASON BASEBALL TEAM SCORES 6 RUNS EVERY 2 INNINGS. WHAT IS THE RATIO OF RUNS TO INNINGS.
Answer:
6:2
Step-by-step explanation:
simple math ... then u simplify and the answer is 3:1
4) If a = 28 and b = 4, then a/b = ______
Answer:
7
Step-by-step explanation:
You divided both 28 and 4 and you will get 7 as your answer.
Simplify this terms
Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.
Answer:
In algebra, an equation is a mathematical expression that contains an equals sign. ... An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression.
Step-by-step explanation:
a) Given g(x) = 4x – 3, what function h(x) would represent a downward shift by two units? Show your solution.
b) Sketch the original function g(x) =4x -3 and the new function that you got from letter a.
Reflect g(x) = x3 + x2 - 3x - 1 across the y -axis. What is the new function and show your work?
a) The solution to the transformation of the function is h ( x ) = 4x - 5
b) The reflection of function g ( x ) over y axis is f ( x ) = -x³ + x² + 3x - 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as g ( x )
Now , the value of g ( x ) = 4x - 3
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
On transformation of the function by a vertical shift of 2 units , we get
h ( x ) = g ( x ) - 2
Substituting the values in the equation , we get
h ( x ) = 4x - 3 - 2
h ( x ) = 4x - 5
So , the transformed function is h ( x ) = 4x - 5
b)
On reflecting the function g ( x ) over y axis , f ( x ) = g ( -x )
Substituting the value of x as -x in the function , we get
g ( -x ) = ( -x )³ + ( -x )² - 3 ( -x ) - 1
So , f ( x ) = -x³ + x² + 3x - 1
Hence , the transformed function is h ( x ) = 4x - 5
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